Quadratic Equation Class 10 Maths – Chapter 4

Quadratic Equation Class 10 Maths, deals with various concepts which are as under:-

• Quadratic Equations
• Solution of a Quadratic Equation by Factorisation
• Solution of a Quadratic Equation by Completing the Square
• Nature of Root

1. Quadratic Equations

What is quadratic equations?

Quadratic equation is the equation in which the highest power of the variable is 2.
For example: +bx+c=0

Check whether following are quadratic equations:

A)=3(x+2)

B)=x

Write a Quadratic equation from a Statement

A.The product of two consecutive positive integers is 210. We need to find the integers?

B.The area of a rectangle is 90. The length of the rectangle is 3 more than the twice of the breadth. We need to find the length and breadth of the rectangle?

2. Solution of a Quadratic Equation by Factorisation – Quadratic Equation Class 10

• Roots of Quadratic Equations

• Solving Quadratic Equations by factoring

• Solving Quadratic Equations by factoring Examples

• Find two numbers when their sum and products are given

• Finding value of unknown variable when root of Quadratic Equations is given

• Finding Consecutive Numbers using Quadratic Equations

• Quadratic Equation Word Problem 1

• Quadratic Equation Word Problem 2

Solution of a Quadratic Equation by Completing the Square – Quadratic Equation Class 10

• Finding roots by completing the square method

• Find Roots of Quadratic Equation using Quadratic Formula

Quadratic Equations roots by completing squares – Example 1

4. Nature of roots of Quadratic Equation

The nature of  roots depends on the value of -4ac
So if -4ac=0 then both the roots are real and equal.
If -4ac<0 then roots are not real.
If -4ac>0 then roots are distinct and real.